How do you find the first three iterates for the function f(x)=x^2+2 given the initial value x_0=−1?

Modelfino0g

Modelfino0g

Answered question

2022-09-10

How do you find the first three iterates for the function f ( x ) = x 2 + 2 given the initial value x 0 = - 1 ?

Answer & Explanation

rougertl

rougertl

Beginner2022-09-11Added 16 answers

Is it the iteration
x n = x n - 1 2 + 2 , n = 1 , 2 , 3 , . . , with x 0 = - 1 ?
Such iterations might lead to
limit x n = a zero of f(x)=0, as n .
Yet, in this case, there is no real solution at all..

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